AbstractHerzog and Srinivasan have conjectured that for any homogeneous k-algebra, the degree is bounded above by a function of the maximal degrees of the syzygies. Combining the syzygy quadrangle decomposition of Peeva and Sturmfels and a delicate case analysis, we prove that this conjectured bound holds for codimension 2 lattice ideals
Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and ...
5 pagesWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynom...
We discuss the possibility of representing elements in polynomial ideals in ℂN with optimal degree b...
AbstractHerzog, Huneke, and Srinivasan have conjectured that for any homogeneous k-algebra, the mult...
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to com...
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to com...
An upper bound of d2x with x = n(log 3)/(log 4) is given for the generators of the module of the rel...
AbstractWe establish doubly-exponential degree bounds for Gröbner bases in certain algebras of solva...
Estimates are obtained for the degrees of minimal syzygies of quotient algebras of polynomial rings....
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting doubl...
A graded K-algebra R has property Np if it is generated in degree 1, has relations in degree 2 and t...
AbstractCampanella's refinements of Dubreil's theorem are sharp upper and lower bounds, formulated i...
In this paper we answer the following question of Teo Mora ([Mora91]): Write down a monomial ideal s...
We compute the degrees of the syzygies of lattice ideals by means of some simplicial complexes. The ...
AbstractLet S=K[x1,…,xn] be a polynomial ring and R=S/I be a graded K-algebra where I⊂S is a graded ...
Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and ...
5 pagesWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynom...
We discuss the possibility of representing elements in polynomial ideals in ℂN with optimal degree b...
AbstractHerzog, Huneke, and Srinivasan have conjectured that for any homogeneous k-algebra, the mult...
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to com...
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to com...
An upper bound of d2x with x = n(log 3)/(log 4) is given for the generators of the module of the rel...
AbstractWe establish doubly-exponential degree bounds for Gröbner bases in certain algebras of solva...
Estimates are obtained for the degrees of minimal syzygies of quotient algebras of polynomial rings....
We give a self-contained exposition of Mayr & Meyer's example of a polynomial ideal exhibiting doubl...
A graded K-algebra R has property Np if it is generated in degree 1, has relations in degree 2 and t...
AbstractCampanella's refinements of Dubreil's theorem are sharp upper and lower bounds, formulated i...
In this paper we answer the following question of Teo Mora ([Mora91]): Write down a monomial ideal s...
We compute the degrees of the syzygies of lattice ideals by means of some simplicial complexes. The ...
AbstractLet S=K[x1,…,xn] be a polynomial ring and R=S/I be a graded K-algebra where I⊂S is a graded ...
Based upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and ...
5 pagesWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynom...
We discuss the possibility of representing elements in polynomial ideals in ℂN with optimal degree b...
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